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Title: Energetics of Pfaffian–anti-Pfaffian domains

Journal Article · · Physical Review. B
ORCiD logo [1];  [2];  [3];  [4]
  1. Univ. of Oxford (United Kingdom). Clarendon Lab.; OSTI
  2. Princeton Univ., NJ (United States); Stanford Univ., CA (United States)
  3. Univ. of California, Berkeley, CA (United States)
  4. California State University, Los Angeles, CA (United States)
+ Show Author Affiliations

In several recent works it has been proposed that, due to disorder, the experimentally observed $$\mathcal{ν}$$ = 5/2 quantum Hall state could be microscopically composed of domains of Pfaffian order along with domains of anti-Pfaffian order. In this work, we numerically examine the energetics required for forming such domains and conclude that for the parameters appropriate for recent experiments, such domains would not occur.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
Engineering and Physical Sciences Research Council (EPSRC); Gordon and Betty Moore Foundation; US Army Research Office (ARO); USDOE Office of Science (SC)
Grant/Contract Number:
SC0002140
OSTI ID:
1801539
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 101; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (28)

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Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians journal June 2013
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Theory of Disorder-Induced Half-Integer Thermal Hall Conductance journal July 2018
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Transition from Quantum Hall to Compressible States in the Second Landau Level: New Light on the ν = 5 / 2 Enigma journal February 1998
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Particle-Hole Symmetry and the ν = 5 2 Quantum Hall State journal December 2007
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model journal November 2013
Phase Diagram of the ν = 5 / 2 Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width journal April 2015
Is the Composite Fermion a Dirac Particle? journal September 2015
Phase Diagram of the ν=5/2 Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width text January 2015
Particle-hole symmetry and the Pfaffian state text January 2007
Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians text January 2012
Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model text January 2013
Infinite density matrix renormalization group for multicomponent quantum Hall systems text January 2014
Is the Composite Fermion a Dirac Particle? text January 2015
Theory of Disorder-Induced Half-Integer Thermal Hall Conductance text January 2017
Thermal metal in network models of a disordered two-dimensional superconductor text January 2000

Cited By (1)

Fractional charge and fractional statistics in the quantum Hall effects text January 2021

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